Question

Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable , whose possible values are 0, 1, 3, 4, and 5.

Answer 1

For a probability distribution to be represented, it is needed that P(X = 0) + P(X = 1) = 0.44. Hence one possible example is:

• P(X = 0) = 0.40.

• P(X = 1) = 0.04.

What is needed for a discrete random variable to represent a probability distribution?

The sum of all the probabilities must be of 1, hence:

P(X = 0) + P(X = 1) + P(X = 3) + P(X = 4) + P(X = 5) = 1.

Then, considering the table:

P(X = 0) + P(X = 1) + 0.15 + 0.17 + 0.24 = 1

P(X = 0) + P(X = 1) + 0.56 = 1

P(X = 0) + P(X = 1) = 0.44.

Hence one possible example is:

• P(X = 0) = 0.40.

• P(X = 1) = 0.04.

More can be learned about probability distributions at brainly.com/question/24802582

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